Numerical solution of the boundary value problems in calculus of variations using parametric cubic spline method

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Volume 8, Issue 4

M. Zarebnia and Z. Sarvari

J. Info. Comput. Sci. , 8 (2013), pp. 275-282.

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Abstract

In this paper , a numerical solution based on parametric cubic spline is used for finding the solution of boundary value problems arising in the calculus of variations . The present approach has less computational coast and gives better approximation . This approximation reduce the problems to an explicit system of algebraic equations . Some numerical examples are also given to illustrate the accuracy and applicability of the presented method.

Keywords

Calculus of variation, Parametric spline, Numerical method.

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@Article{JICS-8-275, author = {M. Zarebnia and Z. Sarvari}, title = {Numerical solution of the boundary value problems in calculus of variations using parametric cubic spline method}, journal = {Journal of Information and Computing Science}, year = {2013}, volume = {8}, number = {4}, pages = {275--282}, abstract = { In this paper , a numerical solution based on parametric cubic spline is used for finding the solution of boundary value problems arising in the calculus of variations . The present approach has less computational coast and gives better approximation . This approximation reduce the problems to an explicit system of algebraic equations . Some numerical examples are also given to illustrate the accuracy and applicability of the presented method. }, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22603.html} }

TY - JOUR T1 - Numerical solution of the boundary value problems in calculus of variations using parametric cubic spline method AU - M. Zarebnia and Z. Sarvari JO - Journal of Information and Computing Science VL - 4 SP - 275 EP - 282 PY - 2013 DA - 2013/12 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22603.html KW - Calculus of variation, Parametric spline, Numerical method. AB - In this paper , a numerical solution based on parametric cubic spline is used for finding the solution of boundary value problems arising in the calculus of variations . The present approach has less computational coast and gives better approximation . This approximation reduce the problems to an explicit system of algebraic equations . Some numerical examples are also given to illustrate the accuracy and applicability of the presented method.

M. Zarebnia and Z. Sarvari. (2013). Numerical solution of the boundary value problems in calculus of variations using parametric cubic spline method. Journal of Information and Computing Science. 8 (4). 275-282. doi:

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